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Finding the Fourth Proportional to 54,745.80, 82,111.63 and 17,309.68

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Solution

The fourth proportional to 54,745.80, 82,111.63 and 17,309.68 is: 25,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,745.80 : 82,111.63 = 17,309.68 : x
  2. Step 2: Convert to fraction form
    54,745.80/82,111.63 = 17,309.68/x
  3. Step 3: Cross multiply
    54,745.80x = 82,111.63 × 17,309.68
  4. Step 4: Simplify right side
    54,745.80x = 1,421,326,039.58
  5. Step 5: Solve for x
    x = 1,421,326,039.58/54,745.80
  6. Step 6: Final answer
    x = 25,962.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.